Question

A tennis ball is a hollow sphere with a thin wall. It is set rolling without...

A tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.10 m/s on a horizontal section of a track as shown in the figure below. It rolls around the inside of a vertical circular loop of radius r = 48.1 cm. As the ball nears the bottom of the loop, the shape of the track deviates from a perfect circle so that the ball leaves the track at a point h = 17.0 cm below the horizontal section.

(a) Find the ball's speed (in m/s) at the top of the loop. m/s

(b) Find its speed (in m/s) as it leaves the track at the bottom. m/s

(c) What If? Suppose that static friction between ball and track were negligible so that the ball slid instead of rolling. Describe the speed of the ball at the top of the loop in this situation. higher lower the same The ball never makes it to the top of the loop.

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